4) Several matrix operations as calculate inverse, determinants, eigenvalues, diagonalize, LU decomposition in matrix with real or complex values
5) Sum, multiply, divide Matrix.
Inputs
Linear Systems Calculator is not restricted in dimensions.
1) Enter the coefficient matrix in the table labeled "Matrix A", note that in the right menu you can add rows and columns using the "Add Column" or delete the option "Delete column"
2) Enter the coefficients vector in the table labeled "Vector B", note that in the right menu you can add dimensions to this vector "Add Column" or delete the option "Delete column"
Outputs
To solve the system of linear equations Ax = B, click the menu item "Solve Ax = B"
To calculate the determinant of the matrix A, click the menu option "Determinant"
To calculate the inverse of the matrix, click the menu option "Invert"
To calculate the the matrix A eigenvalues, basis of eigenvectors and the diagonal form click the menu option "Eigenvalues".
To calculate the Jordan canonical form click in "Jordan Form".
To calculate the LU factorization of A form click in "LU Decomposition".
To the matrix sum, click on button "Other Matrix", a new window will open to input other matrix to multiply, sum or divide by A.
Final comments
The Linear Systems Calculator does not require installation of any kind, just a browser with javascript support.
Instructions: Use this calculator to find the matrix representation of a given system of equations that you provide. Please specify a system of linear equation, by first adjusting the dimension, if needed.
Then, fill out the coefficients associated to all the variables and the right hand size, for each of the equations. If a variable is not present in one specific equation, type "0" or leave it empty.
2x23x34x45x5
x + y + z + u + v =
x + y + z + u + v =
x + y + z + u + v =
x + y + z + u + v =
x + y + z + u + v =
More about this System of Equations to Matrix form Calculator System of Equations to Matrix form convert system to matrix
Home > Matrix & Vector calculators > Solving systems of linear equations using Inverse Matrix method calculatorMethod and examples
Method
- `[[2,3,1],[0,5,6],[1,1,2]]`
- `[[2,1,-1],[1,0,-1],[1,1,2]]`
- `[[3,1,1],[-1,2,1],[1,1,1]]`
- `[[2,3],[4,10]]`
- `[[5,1],[4,2]]`
- `[[6,3],[4,5]]`
Method
Solving systems of linear equations using
Inverse Matrix method
3x+y=11
Or2, 5, 16
3, 1, 11
Or(8-18.1906i), (-2+13.2626i), 100
(2-13.2626i), (1+14.7706i), 0
Initial / Start value = ( )w =
- `2x+y+z=5,3x+5y+2z=15,2x+y+4z=8`
- `2x+5y=16,3x+y=11`
- `2x+5y=21,x+2y=8`
- `2x+y=8,x+2y=1`
- `2x+3y-z=5,3x+2y+z=10,x-5y+3z=0`
- `x+y+z=3,2x-y-z=3,x-y+z=9`
- `x+y+z=7,x+2y+2z=13,x+3y+z=13`
- `2x-y+3z=1,-3x+4y-5z=0,x+3y-6z=0`
Solution
Solution provided by AtoZmath.com